GCD of 814, 800, 664, 268 Calculator

Given Input numbers are 814, 800, 664, 268

In the factoring method, we have to find the divisors of all numbers

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

GCD of numbers is the greatest common divisor

So, the GCD (814, 800, 664, 268) = 2.

Given numbers are 814, 800, 664, 268

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 268 are 2 x 2 x 67

The highest common occurrence is 2¹

Therefore, GCD of 814, 800, 664, 268 is 2.

Given numbers are 814, 800, 664, 268

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(814, 800) = 325600

GCD(814, 800) = ( 814 x 800 ) / 325600

= 814 / 800

= 814

Step2:

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

= 2 / 664

= 2

Step3:

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

= 2 / 268

= 2

So, Greatest Common Divisor of 814, 800, 664, 268 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 139, 409, 869
• GCD of 915, 418, 915, 956
• GCD of 318, 585, 114, 520
• GCD of 565, 264, 624, 389
• GCD of 654, 479, 164, 249

Given numbers are 814, 800, 664, 268
The greatest common divisor of numbers 814, 800, 664, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 800, 664, 268 is 2.

1. What is the GCD of 814, 800, 664, 268?

GCD of given numbers 814, 800, 664, 268 is 2

2. How to calculate the greatest common divisor of 814, 800, 664, 268?

We can find the highest common divisor of 814, 800, 664, 268 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 814, 800, 664, 268 i.e 2.

3. How can I use the GCD of 814, 800, 664, 268Calculator?

Out the numbers 814, 800, 664, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.